03436nam 22006255 450 991025458720332120200630043642.0981-10-6596-910.1007/978-981-10-6596-5(CKB)4100000000882512(DE-He213)978-981-10-6596-5(MiAaPQ)EBC5100589(PPN)220126240(EXLCZ)99410000000088251220171010d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierLattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking /by Takahiro Doi1st ed. 2017.Singapore :Springer Singapore :Imprint: Springer,2017.1 online resource (XII, 59 p. 18 illus. in color.) Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053981-10-6595-0 Includes bibliographical references at the end of each chapters.Basics of QCD and Lattice QCD -- Relation Between Confinement and Chiral Symmetry Breaking -- Generalization to Chiral Fermion on the Lattice -- Summary and Outlook.This thesis focuses on an unresolved problem in particle and nuclear physics: the relation between two important non-perturbative phenomena in quantum chromodynamics (QCD) – quark confinement and chiral symmetry breaking. The author develops a new analysis method in the lattice QCD, and derives a number of analytical formulae to express the order parameters for quark confinement, such as the Polyakov loop, its fluctuations, and the Wilson loop in terms of the Dirac eigenmodes closely related to chiral symmetry breaking. Based on the analytical formulae, the author analytically as well as numerically shows that at finite temperatures there is no direct one-to-one correspondence between them. The thesis describes this extraordinary achievement using the first-principle analysis, and proposes a possible new phase in which quarks are confined and chiral symmetry is restored.Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053Nuclear physicsHeavy ionsQuantum field theoryString modelsPhysicsNuclear Physics, Heavy Ions, Hadronshttps://scigraph.springernature.com/ontologies/product-market-codes/P23010Quantum Field Theories, String Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P19048Numerical and Computational Physics, Simulationhttps://scigraph.springernature.com/ontologies/product-market-codes/P19021Nuclear physics.Heavy ions.Quantum field theory.String models.Physics.Nuclear Physics, Heavy Ions, Hadrons.Quantum Field Theories, String Theory.Numerical and Computational Physics, Simulation.511.33Doi Takahiroauthttp://id.loc.gov/vocabulary/relators/aut825126MiAaPQMiAaPQMiAaPQBOOK9910254587203321Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking1835324UNINA